Landscape

Select a theory SU(2): 4 fund + 4 anti-fund (not completed) SU(2): 1 Adj + 1 fund + 1 anti-fund SU(2): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(2): 1 Adj + 3 fund + 3 anti-fund (not completed) SU(2): 2 Adj SU(2): 2 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(5): 2 rank-2 symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm + 1 fund + 1 anti-fund SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + (conj.) (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(6): 2 rank-2 symm + (conj.) SU(6): 2 rank-2 symm + 1 fund + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(7): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 8 fund (not completed) SU(7): 2 rank-2 symm + 1 fund + (conj.) (not completed) SU(8): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 9 fund + 1 anti-fund (not completed) SU(9): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 16 anti-fund (not completed) SU(9): 2 rank-2 symm + (conj.) (not completed) SU(9): 2 rank-2 symm + 1 fund (conj.) (not completed) SU(10): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 1 fund + 17 anti-fund (not completed) SO(5): 5 vector (not completed) SO(5): 1 Adj + 1 vector SO(5): 1 Adj + 2 vector SO(5): 1 rank-2 symm SO(5): 1 rank-2 symm + 1 vector SO(5): 1 rank-2 symm + 2 vector Sp(2): 1 Adj + 2 fund Sp(2): 1 14 + 2 fund Sp(2): 2 Adj Sp(2): 1 Adj + 2 rank-2 anti-symm + 8 fund (not completed) G2: 1 Adj + 1 fund E[USp(6)] (not completed) All theories Data used in arXiv:2408.02953

$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =

Check if you want only theories with rational charges.

Chosen Fixed Point

Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.

#	Theory	Superpotential	Central charge $a$	Central charge $c$	Ratio $a/c$	Matter field: $R$-charge	U(1) part of $F_{UV}$	Rank of $F_{UV}$	Rational
58367	SU3adj1nf2	${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$	1.3171	1.5608	0.8438	[X:[], M:[0.8502, 1.2502], q:[0.445, 0.5775], qb:[0.3048, 0.2727], phi:[0.4]]	[X:[], M:[[1, 2], [1, 2]], q:[[-2, -2], [1, 1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{4}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}\tilde{q}_{2}^{3}$	${}\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$	0	t^2.15 + t^2.4 + 2*t^2.55 + t^2.65 + t^3.35 + t^3.6 + 3*t^3.75 + 2*t^3.85 + t^4.31 + 2*t^4.55 + t^4.65 + 2*t^4.7 + 2*t^4.8 + 4*t^4.95 + 3*t^5.05 + 3*t^5.1 + 2*t^5.2 + t^5.29 + t^5.51 + 2*t^5.75 + 4*t^5.9 + t^6.05 - t^6.1 + 6*t^6.15 + 4*t^6.25 + 6*t^6.3 + t^6.34 + 5*t^6.4 + t^6.46 + 2*t^6.49 + 3*t^6.71 + t^6.8 + 2*t^6.86 + 3*t^6.95 + 7*t^7.1 + 4*t^7.2 + 3*t^7.25 - t^7.3 + 7*t^7.35 + 4*t^7.45 + 12*t^7.5 + 10*t^7.6 + t^7.61 + 4*t^7.65 + t^7.66 + 5*t^7.69 + 3*t^7.75 + 2*t^7.84 + 3*t^7.91 + t^7.94 + t^8. + 4*t^8.06 + t^8.21 - 2*t^8.25 + 9*t^8.3 + 3*t^8.4 + 7*t^8.45 - t^8.5 + 3*t^8.55 + 2*t^8.6 + t^8.61 + 16*t^8.7 - t^8.74 + 16*t^8.8 + 9*t^8.85 + 3*t^8.86 + 8*t^8.89 + 8*t^8.95 + t^8.99 - t^4.2/y - t^5.4/y - t^6.35/y - t^6.6/y - (2*t^6.75)/y - t^6.85/y + t^7.65/y + (2*t^7.7)/y - t^7.95/y + t^8.1/y + (2*t^8.2)/y + (3*t^8.9)/y - t^4.2*y - t^5.4*y - t^6.35*y - t^6.6*y - 2*t^6.75*y - t^6.85*y + t^7.65*y + 2*t^7.7*y - t^7.95*y + t^8.1*y + 2*t^8.2*y + 3*t^8.9*y	t^2.15/(g1^2*g2) + t^2.4 + 2*g1*g2^2*t^2.55 + g1^2*g2*t^2.65 + t^3.35/(g1^2*g2) + t^3.6 + 3*g1*g2^2*t^3.75 + 2*g1^2*g2*t^3.85 + t^4.31/(g1^4*g2^2) + (2*t^4.55)/(g1^2*g2) + t^4.65/(g1*g2^2) + (2*g2*t^4.7)/g1 + 2*t^4.8 + 4*g1*g2^2*t^4.95 + 3*g1^2*g2*t^5.05 + 3*g1^2*g2^4*t^5.1 + 2*g1^3*g2^3*t^5.2 + g1^4*g2^2*t^5.29 + t^5.51/(g1^4*g2^2) + (2*t^5.75)/(g1^2*g2) + (4*g2*t^5.9)/g1 + g2^3*t^6.05 - (g1*t^6.1)/g2 + 6*g1*g2^2*t^6.15 + 4*g1^2*g2*t^6.25 + 6*g1^2*g2^4*t^6.3 + g1^3*t^6.34 + 5*g1^3*g2^3*t^6.4 + t^6.46/(g1^6*g2^3) + 2*g1^4*g2^2*t^6.49 + (3*t^6.71)/(g1^4*g2^2) + t^6.8/(g1^3*g2^3) + (2*t^6.86)/g1^3 + (3*t^6.95)/(g1^2*g2) + (7*g2*t^7.1)/g1 + 4*t^7.2 + 3*g2^3*t^7.25 - (g1*t^7.3)/g2 + 7*g1*g2^2*t^7.35 + 4*g1^2*g2*t^7.45 + 12*g1^2*g2^4*t^7.5 + 10*g1^3*g2^3*t^7.6 + t^7.61/(g1^6*g2^6) + 4*g1^3*g2^6*t^7.65 + t^7.66/(g1^6*g2^3) + 5*g1^4*g2^2*t^7.69 + 3*g1^4*g2^5*t^7.75 + 2*g1^5*g2^4*t^7.84 + (3*t^7.91)/(g1^4*g2^2) + g1^6*g2^3*t^7.94 + t^8./(g1^3*g2^3) + (4*t^8.06)/g1^3 + (g2^2*t^8.21)/g1^2 - (2*t^8.25)/(g1*g2^2) + (9*g2*t^8.3)/g1 + 3*t^8.4 + 7*g2^3*t^8.45 - (g1*t^8.5)/g2 + 3*g1*g2^2*t^8.55 + 2*g1*g2^5*t^8.6 + t^8.61/(g1^8*g2^4) + 16*g1^2*g2^4*t^8.7 - g1^3*t^8.74 + 16*g1^3*g2^3*t^8.8 + 9*g1^3*g2^6*t^8.85 + (3*t^8.86)/(g1^6*g2^3) + 8*g1^4*g2^2*t^8.89 + 8*g1^4*g2^5*t^8.95 + g1^5*g2*t^8.99 - t^4.2/y - t^5.4/y - t^6.35/(g1^2*g2*y) - t^6.6/y - (2*g1*g2^2*t^6.75)/y - (g1^2*g2*t^6.85)/y + t^7.65/(g1*g2^2*y) + (2*g2*t^7.7)/(g1*y) - (g1*g2^2*t^7.95)/y + (g1^2*g2^4*t^8.1)/y + (2*g1^3*g2^3*t^8.2)/y + (3*g2*t^8.9)/(g1*y) - t^4.2*y - t^5.4*y - (t^6.35*y)/(g1^2*g2) - t^6.6*y - 2*g1*g2^2*t^6.75*y - g1^2*g2*t^6.85*y + (t^7.65*y)/(g1*g2^2) + (2*g2*t^7.7*y)/g1 - g1*g2^2*t^7.95*y + g1^2*g2^4*t^8.1*y + 2*g1^3*g2^3*t^8.2*y + (3*g2*t^8.9*y)/g1

Deformation

Here is the data for the deformed fixed points from the chosen fixed point.

#	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More Info.	Rational
61185	${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }M_{3}\phi_{1}^{3}$	1.3336	1.5898	0.8388	[X:[], M:[0.8502, 1.2502, 0.8], q:[0.445, 0.5775], qb:[0.3048, 0.2727], phi:[0.4]]	t^2.15 + 2*t^2.4 + 2*t^2.55 + t^2.65 + t^3.35 + 3*t^3.75 + 2*t^3.85 + t^4.31 + 3*t^4.55 + t^4.65 + 2*t^4.7 + 4*t^4.8 + 6*t^4.95 + 4*t^5.05 + 3*t^5.1 + 2*t^5.2 + t^5.29 + t^5.51 + 2*t^5.75 + 4*t^5.9 - t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail

Equivalent Fixed Points from Other Seed Theories

Here is a list of equivalent fixed points from other gauge theories.

#	Theory	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More Info.	Rational

Equivalent Fixed Points from the Same Seed Theory

Below is a list of equivalent fixed points from the same seed theories.

id	Theory	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	More Info.	Rational

Previous Theory

The previous fixed point before deforming to get the chosen fixed point.

#	Theory	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More Info.	Rational
57354	SU3adj1nf2	${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$	1.4123	1.6672	0.8471	[M:[0.7613, 1.1613], q:[0.4193, 0.3807], qb:[0.4193, 0.3807], phi:[0.4]]	2*t^2.284 + 3*t^2.4 + 2*t^3.484 + 3*t^3.6 + 3*t^4.568 + 7*t^4.684 + 2*t^4.742 + 8*t^4.8 + 2*t^4.858 + t^4.916 + 4*t^5.768 + 10*t^5.884 + 2*t^5.942 + 5*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail